Nonparametric inference for the proportionality function in the random censorship model
By generalizing the proportional hazards model, we introduce a new function β( t ), which we call the proportionality function, and which we show plays a role in studying aspects of the randomly censored model. We develop an asymptotically efficient nonparametric estimator of β( t ), establish its u...
Saved in:
| Published in: | Journal of nonparametric statistics Vol. 15; no. 2; pp. 151 - 169 |
|---|---|
| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Taylor & Francis Group
01-04-2003
|
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | By generalizing the proportional hazards model, we introduce a new function β( t ), which we call the proportionality function, and which we show plays a role in studying aspects of the randomly censored model. We develop an asymptotically efficient nonparametric estimator of β( t ), establish its uniform consistency, and obtain a weak convergence result. Furthermore, a confidence band for β( t ), based on the bootstrap, is developed. The results are applied to an actual dataset. |
|---|---|
| AbstractList | By generalizing the proportional hazards model, we introduce a new function β( t ), which we call the proportionality function, and which we show plays a role in studying aspects of the randomly censored model. We develop an asymptotically efficient nonparametric estimator of β( t ), establish its uniform consistency, and obtain a weak convergence result. Furthermore, a confidence band for β( t ), based on the bootstrap, is developed. The results are applied to an actual dataset. |
| Author | Song, Kai-Sheng Laird, Glen Hollander, Myles |
| Author_xml | – sequence: 1 givenname: Myles surname: Hollander fullname: Hollander, Myles organization: Department of Statistics and Statistical Consulting Center , Florida State University – sequence: 2 givenname: Glen surname: Laird fullname: Laird, Glen organization: Department of Statistics and Statistical Consulting Center , Florida State University – sequence: 3 givenname: Kai-Sheng surname: Song fullname: Song, Kai-Sheng organization: Department of Statistics and Statistical Consulting Center , Florida State University |
| BookMark | eNqFUE1LAzEUDFLBtvoLvOwfWH1JdrfJRZCiVih6UTwuaTahkd1keYlo_72p9Vj0Xd7XzMDMjEx88IaQSwpXFARcU6hEzWrgFHIJyZk8IVMKTJb5Rif7uRJlhrAzMovxHYDyhsOUvD0FPypUg0nodOG8NWi8NoUNWKStKUYMY8Dkgle9S7vCfni93zL054_Kd2EotPExYNy6sRhCZ_pzcmpVH83Fb5-T1_u7l-WqXD8_PC5v16XmwFJJK6OgqRRfbBa2Ek0jrRRWVVpYsKYWUiy4AsEEN53oainMpmu4rAH4RgGjfE74QVdjiBGNbUd0g8JdS6HdZ9MeySazbg6s7DfgoD4D9l2b1K4PaLMj7WLL_xaQ_woc4bXpK_FvUh9_1Q |
| Cites_doi | 10.2307/2286474 10.1080/02331889808802626 10.1080/02331888808802115 10.1093/biomet/74.4.883 10.1214/aos/1176342705 10.1073/pnas.72.1.20 10.1007/978-1-4612-4348-9 10.2307/2335584 10.1093/biomet/64.2.225 10.1109/TR.1981.5221168 10.1007/978-1-4757-2728-9 10.2307/3314763 10.2307/2287832 |
| ContentType | Journal Article |
| Copyright | Copyright Taylor & Francis Group, LLC 2003 |
| Copyright_xml | – notice: Copyright Taylor & Francis Group, LLC 2003 |
| DBID | AAYXX CITATION |
| DOI | 10.1080/1048525031000089329 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Statistics Mathematics |
| EISSN | 1029-0311 |
| EndPage | 169 |
| ExternalDocumentID | 10_1080_1048525031000089329 10085743 |
| Genre | Original Articles |
| GroupedDBID | .7F .QJ 0BK 0R~ 29L 30N 4.4 5GY 5VS AAAVI AAENE AAJMT AALDU AAMIU AAPUL AAQRR ABBKH ABCCY ABFIM ABHAV ABJVF ABLIJ ABPEM ABPTK ABQHQ ABTAI ABXUL ACAGQ ACGEJ ACGFS ACGOD ACIWK ACTIO ADCVX ADGTB ADXPE AEGYZ AEISY AENEX AEOZL AEPSL AEYOC AFKVX AFOLD AFWLO AGDLA AGMYJ AGROQ AHDLD AHMOU AIJEM AIRXU AJWEG AKBVH AKOOK ALCKM ALMA_UNASSIGNED_HOLDINGS ALQZU AQRUH AVBZW AWYRJ BLEHA CAG CCCUG CE4 COF CRFIH CS3 DGEBU DKSSO DMQIW DU5 EBS EJD E~A E~B F5P FUNRP FVPDL GTTXZ HZ~ H~9 H~P IPNFZ J.P KYCEM M4Z NA5 NY~ O9- PQEST PQQKQ QCRFL RIG RNANH ROSJB RTWRZ S-T SNACF TEJ TFL TFT TFW TN5 TOXWX TTHFI TWF UT5 UU3 V1K ZGOLN ~S~ 07G 1TA AAIKQ AAKBW AAYXX ABJNI ABPAQ ABXYU ACGEE AEUMN AGCQS AGLEN AHDZW AMEWO AMXXU BCCOT BPLKW C06 CITATION DWIFK H13 HF~ IVXBP LJTGL NUSFT TAQ TBQAZ TDBHL TFMCV TUROJ UB9 UU8 V3K V4Q |
| ID | FETCH-LOGICAL-c302t-14ea064a37b7f48669f98fa4c8f0fe589873a08283ed8d598ebd6395003ba0213 |
| IEDL.DBID | TFW |
| ISSN | 1048-5252 |
| IngestDate | Thu Nov 21 22:57:45 EST 2024 Tue Jun 13 19:29:20 EDT 2023 Mon May 13 12:09:11 EDT 2019 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c302t-14ea064a37b7f48669f98fa4c8f0fe589873a08283ed8d598ebd6395003ba0213 |
| PageCount | 19 |
| ParticipantIDs | informaworld_taylorfrancis_310_1080_1048525031000089329 crossref_primary_10_1080_1048525031000089329 |
| PublicationCentury | 2000 |
| PublicationDate | 2003-04-01 |
| PublicationDateYYYYMMDD | 2003-04-01 |
| PublicationDate_xml | – month: 04 year: 2003 text: 2003-04-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationTitle | Journal of nonparametric statistics |
| PublicationYear | 2003 |
| Publisher | Taylor & Francis Group |
| Publisher_xml | – name: Taylor & Francis Group |
| References | Rudin W. (CIT0018) 1976 Csörgo S. (CIT0008) 1989 Klein J. (CIT0015) 1997 CIT0010 CIT0020 Andersen P. (CIT0001) 1993 CIT0011 Billingsley P. (CIT0003) 1968 Bickel P. (CIT0002) 1993 Csörgo S. (CIT0006) 1983; 18 Gill R. (CIT0012) 1989; 16 Koziol J. (CIT0016) 1976; 63 CIT0014 CIT0013 van der Vaart (CIT0021) 1991; 18 CIT0005 CIT0004 CIT0007 CIT0017 CIT0009 CIT0019 |
| References_xml | – ident: CIT0017 doi: 10.2307/2286474 – ident: CIT0009 doi: 10.1080/02331889808802626 – volume: 18 start-page: 63 year: 1991 ident: CIT0021 publication-title: Scandinavian Journal of Statistics contributor: fullname: van der Vaart – volume-title: Efficient and Adaptive Estimation for Semiparametric Models year: 1993 ident: CIT0002 contributor: fullname: Bickel P. – ident: CIT0007 doi: 10.1080/02331888808802115 – ident: CIT0019 doi: 10.1093/biomet/74.4.883 – ident: CIT0004 doi: 10.1214/aos/1176342705 – ident: CIT0020 doi: 10.1073/pnas.72.1.20 – volume-title: Convergence of Probability Measures year: 1968 ident: CIT0003 contributor: fullname: Billingsley P. – volume: 16 start-page: 97 year: 1989 ident: CIT0012 publication-title: Scandinavian Journal of Statistics contributor: fullname: Gill R. – volume-title: Statistical Models Based on Counting Processes year: 1993 ident: CIT0001 doi: 10.1007/978-1-4612-4348-9 contributor: fullname: Andersen P. – volume-title: Principles of Mathematical Analysis year: 1976 ident: CIT0018 contributor: fullname: Rudin W. – ident: CIT0005 doi: 10.2307/2335584 – ident: CIT0014 doi: 10.1093/biomet/64.2.225 – volume-title: Proceedings of the Fourth Prague Symposium on Asymptotic Statistics year: 1989 ident: CIT0008 contributor: fullname: Csörgo S. – ident: CIT0010 doi: 10.1109/TR.1981.5221168 – volume: 18 start-page: 195 year: 1983 ident: CIT0006 publication-title: Studia Scientiarum Mathematicarum Hungarica contributor: fullname: Csörgo S. – volume: 63 start-page: 465 year: 1976 ident: CIT0016 publication-title: Biometrika contributor: fullname: Koziol J. – volume-title: Survival Analysis: Techniques for Censored and Truncated Data. year: 1997 ident: CIT0015 doi: 10.1007/978-1-4757-2728-9 contributor: fullname: Klein J. – ident: CIT0013 doi: 10.2307/3314763 – ident: CIT0011 doi: 10.2307/2287832 |
| SSID | ssj0013630 |
| Score | 1.6202736 |
| Snippet | By generalizing the proportional hazards model, we introduce a new function β( t ), which we call the proportionality function, and which we show plays a role... |
| SourceID | crossref informaworld |
| SourceType | Aggregation Database Enrichment Source Publisher |
| StartPage | 151 |
| SubjectTerms | Nonparametric Estimation Proportional Hazards Model Proportionality Function Random Censorship Model Uniform Convergence Weak Convergence |
| Title | Nonparametric inference for the proportionality function in the random censorship model |
| URI | https://www.tandfonline.com/doi/abs/10.1080/1048525031000089329 |
| Volume | 15 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwED5BpzLwKCDKSx4YiZTGTmxPCEErFrpQVLbIsWOJoUnVphI_n7OTQCtVHWCKovgcy7n4Pp_vvgO4iwwPlVQJbnK0DhhPwkBQql2ibqQSoTnVvnTCGx9_iOeho8l5aHNhXFil20PbmijCr9Xu51bZso2IwysT7jSu9k2jwY1cAh8iG6fVk9H09xQhoQ0bgcCxxFHLOrS9jw3LtMFbumZxRkf_HusxHDZgkzzW2nECe3nRg4PXH6bWZQ-6Dm3WZM2nMB2XheMCn7kyW5p8tsmABAdJUIjMXU2FRe0-RPhOnFV0d9jUP0fDZ8oZ0bg3Ln18NPGVds7gfTScPL0ETeWFQNMwqoIByxViFUV5xi0TSSKtFFYxLWxo81hIwaly5Hc0N8LEUuSZQagT4xKRKUQN9Bw6RVnkF0AyJY3gEjtiCdNmIGOFJjHOTcQsoi3eh_t21tN5TbCRDhre0i2T14do_cuklfdr2LoIyTaBtPqq-sB3CNEdr7v8s-QVdH3cnw_yuYZOtVjlN7C_NKtbr6Tfpunh4Q |
| link.rule.ids | 315,782,786,1455,1509,27933,27934,58021,59734,60523 |
| linkProvider | Taylor & Francis |
| linkToHtml | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3NT8IwFH8RPIgHP1Ajfvbg0SWwbmt7NArBCFzE4G3p2i3xwEZgJP75vnYbQkI46GlZ1te9dF3f772-_h7Ag6tZWwoZoJOjlOOxoO1wSpU5qOvKgCtGlS2d8M5Gn_yla2hyVqf4TVql8aGTgijCrtXm5zbB6ColDq8eN9txRXAaLa4rarCP0Jga9vxxb_K7jxDQko-Aoza-W_EObe9kwzZtMJeu2Zze8f-1PYGjEm-Sp2KCnMJenDbhcLgia100oWEAZ8HXfAaTUZYaOvCpqbSlyFd1HpCglgSFyMyUVZgXEURE8MQYRnOHTe1ztH06mxKF7nFmU6SJLbZzDh-97vi575TFFxxF227udLxYIlyRlEUs8XgQiETwRHqKJ-0k9rngjErDf0djzbUveBxpRDs-rhKRROBAL6CeZml8CSSSQnMmsCMv8JTuCF-iVfRj7XoJAi7Wgsdq2MNZwbERdkrq0i2D1wJ3_dOEuQ1tJEUdkm0CYf6dt4DtEKI7Xnf1Z8l7OOiPh4Nw8Dp6u4aGTQO0OT83UM_ny_gWagu9vLMz9gf-EeYF |
| linkToPdf | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dS8MwED_cBNEHP6bi_MyDjxa6pm2SJxG3oahDcDLfSpo04MO6sXXgn-8lXXWDsQd9KqW59EjT3O8ul98BXAea-VLIGJ0cpbyQxb7HKVX2oG4gY64YVa50whvrffB2x9Lk3FZnYWxapfWhTUkU4dZq-3OPtaky4vAacrsbV8am0eAGogabsV_6VP3u4HcbIaZzOgKOykRBRTu0upMl07REXLpgcrp7_1Z2H3bnaJPcldPjADayvAE7Lz9UrdMGbFu4WbI1H8KgN8otGfjQ1tlS5LM6DUhQSYJCZGyLKkzK-CHid2LNor3Dpu45Wj49GhKFzvHIJUgTV2rnCN67nf79gzcvveAp6geF1woziWBFUpYyE_I4FkZwI0PFjW-yiAvOqLTsdzTTXEeCZ6lGrBPhGpFKhA30GOr5KM9OgKRSaM4EdhTGodItEUm0iVGmg9Ag3GJNuKlGPRmXDBtJa05cumLwmhAsfpmkcIENU1YhWSWQFF9FE9gaIbrmdad_lryCrdd2N3l-7D2dwbbLAXQJP-dQLyaz7AJqUz27dPP1Gy-t5Kk |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Nonparametric+inference+for+the+proportionality+function+in+the+random+censorship+model&rft.jtitle=Journal+of+nonparametric+statistics&rft.au=Hollander%2C+Myles&rft.au=Laird%2C+Glen&rft.au=Song%2C+Kai-Sheng&rft.date=2003-04-01&rft.pub=Taylor+%26+Francis+Group&rft.issn=1048-5252&rft.eissn=1029-0311&rft.volume=15&rft.issue=2&rft.spage=151&rft.epage=169&rft_id=info:doi/10.1080%2F1048525031000089329&rft.externalDocID=10085743 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1048-5252&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1048-5252&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1048-5252&client=summon |